On circulant and two-circulant weighing matrices

Authors

K T. Arasu, Wright State University, Dayton, Ohio 45435 USA
Ilias S. Kotsireas, Wilfrid Laurier UniversityFollow
Christos Koukouvinos
Jennifer Seberry, University of WollongongFollow

RIS ID

33815

Publication Details

Arasu, K. T., Kotsireas, I. S., Koukouvinos, C. & Seberry, J. (2010). On circulant and two-circulant weighing matrices. Australasian Journal of Combinatorics, 48 43-51.

Abstract

We employ theoretical and computational techniques to construct new weighing matrices constructed from two circulants. In particular, we construct W(148, 144), W(152, 144), W(156, 144) which are listed as open in the second edition of the Handbook of Combinatorial Designs. We also fill a missing entry in Strassler’s table with answer “YES”, by constructing a circulant weighing matrix of order 142 with weight 100.